Answer:
x=-11
Step-by-step explanation:
5x+2=4x-9
5x-4x=-9-2
x=-11
Factor the following polynomials:
1.) 100a² - 25b²
2.) m³ + 125
3.) 8a³ - 64b³
4.) x² - 8x + 12
5.) b² - 6b - 27
Step-by-step explanation:
1. 100a²-25b² [use : a²-b² formula : (a+b)(a-b)]
=> 25(4a²-b²)
=> 25(2a-b)(2a+b).
2. m³+125 [use : a³+b³ formula: (a+b)(a²-ab+b²]
=> m³+5³ => (m+5)(m²-5m+25).
3. 8a³-64b³ [use : a³-b³ formula: (a-b)(a²+ab+b²]
=> 8(a³-8b³) => 8(a-2b)(a²+2ab+b²)
4. x² - 8x + 12 [middle term breaking)
=> x²-2x-6x+12 => x(x-2)-6(x-2) => (x-2) (x-6)
5. b² - 6b - 27 [ middle term breaking]
=> b²-9b+3b-27 => b(b-9)+3(b-9) => (b-9)(b+3).
hope this helps you.
what is a set? describe the use of braces for listing the members of a set.
Answer:A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements. Curly braces are used to indicate that the objects written between them belong to a set
Answer: A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
Curly braces are used to indicate that the objects written between them belong to a set.
What is set?A set is a collection of objects that have something in common or follow a rule. The objects in the set are called its elements.
here, we have,
N={1,2,3,4,.......}
Determine the sets of natural number
Represent this set with letter N
From definition of natural numbers, they are integer numbers starting from 1;
In other words: 1,2,3,4,5, and so on.
To represent this as a set of N, we have
N={1,2,3,4,.......}
The ..... means that the counting still continues.
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Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?
A.1/16 mile
b.1/32
c. 3/16
d. 1/8
1/16 mile
3/4 = 12/16
1/8 = 2/16
12/16 + 2/16 = 14/16
1/16 Mile left to walk
Hayami has to walk her bike Option A) 1/16 mile to complete the loop.
Hayami rode a total of 3/4 + 1/8 = 7/8 mile before getting a flat tire. To complete the loop, she needs to cover the remaining distance of the loop, which is
= 15/16 - 7/8
= 15/16 - 14/16
= 1/16 mile.
Thus, Hayami has to walk her bike 1/16 mile to complete the loop. Therefore, the correct answer is 1/16 mile.
To find out how far Hayami has to walk her bike to complete the loop, we need to calculate the remaining distance after she rode her bike before stopping for a rest and getting a flat tire.
1. First, we calculate the distance Hayami rode before stopping for a rest:
She rode 3/4 mile.
2. Then, we calculate the distance she rode after stopping for a rest but before getting a flat tire:
She rode 1/8 mile.
3. Now, let's find out the total distance she rode:
= 3/4 + 1/8
= 6/8 + 1/8
= 7/8 mile.
4. The length of the loop is \(15/16\) mile.
5. To find the remaining distance to complete the loop, subtract the distance she rode from the total loop length:
= 15/16 - 7/8
= 15/16 - 14/16
= 1/16 mile.
6. Therefore, Hayami has to walk her bike 1/16 mile to complete the loop.
In conclusion, the correct answer is 1/16 mile (Option A).
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Complete Question
Choose the correct answer from the given options:
Hayami was riding her bike on a loop that is 15/16 mile long. she rode for 3/4 mile and then stopped to rest she rode another 1/8 mile and then has a flat tire. how far does Hayami have to walk her bike to complete the loop?
A.1/16 mile
b.1/32 mile
c. 3/16 mile
d. 1/8 mile
Whenever the first and last day of a
month fall on the same day of the week,
that month has exactly how many days?
A. 28
B. 29
C. 30
D. 31
Step-by-step explanation:
I believe it would be 29days
Months with 31 days are the only ones where the first and last day of the month fall on the same day of the week. So, correct option is D.
The months with the same day of the week for their first and last day have either 30 or 31 days. This is due to the repeating pattern of days in a month.
Let's consider the possibilities:
If a month has 30 days and the first day falls on a Sunday, then the last day of the month would fall on a Tuesday, which is two days ahead. This means that the next month's first day would be a Wednesday. Since there are only 7 days in a week, the first and last day cannot be the same for a 30-day month.
If a month has 31 days and the first day falls on a Sunday, then the last day of the month would fall on a Monday, which is just one day ahead. This means that the next month's first day would also be a Monday, making the first and last day the same for this 31-day month.
Thus, the correct answer is D. 31
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what is 53 + x = x + 53
- BRAINLIEST answerer
Use technology to find the line of best fit for the following data.
Answer:
what following data
Step-by-step explanation:
Make a the subject of the formula where a is positive: a 6(a - 4b) = 2ac + 4d
Answer:
[tex]{ \tt{6(a - 4b) = 2ac + 4d}} \\ \\ { \tt{6a - 24b = 2ac + 4d}} \\ \\ { \tt{6a - 2ac = 4d + 24b}} \\ \\ { \tt{a(6 - 2c) = 4d + 24b}} \\ \\ { \boxed{ \tt{ \: a = \frac{4d + 24b}{6 - 2c} }}} \\ [/tex]
Fill in the missing number.
70% of blank equals 14
Answer:
20
Step-by-step explanation:
14/0.7
Answer:
Step-by-step explanation:
Your question: 70 percent of what number equals 14?
Step 1: Multiply both sides by 100 to get 7,000 and 1,400.
Step 2: Divide both sides by 70 to get 100 and 20.
Step 3: Put it into fraction form. [tex]\frac{20}{100}[/tex].
Step 4: Since in percentages, you typically only go up to 100, we can remove the 100 to leave us with just 20.
Step 5: We have our answer. 70% of 20 is 14.
Hope this helps! :D
Identify the center and radius of the circle with equation x2 + y2 - 8x - 4y - 5=0.
center:
radius:
(Type an ordered pair, using integers or decimals)
Answer:
(0,-3) is the correct answer because e-3 is on the y axis
Answer:
-5,0
Step-by-step explanation:
The x-intercept is where the line intercepts the x-axis
please help! & please explain your answer!!
Answer:
9Step-by-step explanation:
Plan A remains with $450 stable charge and Plan B is:
200 + 30x, with x being the number of physical training sessionsIn order Plan B to be cheaper we set an inequality:
200 + 30x < 45030x < 250x < 250/30x = 8.33 < 9A different store needs to make at least $20,000 to make a profit in March. They average $685 a day for the month. James used rounding and estimation to say, “$685 is almost $700. $700 × 30 days is $21,000. I think it is going to be a close call!” What do you think?
Darren made strawberry jam and raspberry jam. He made enough strawberry jam to fill 3 3/8 jars. If he made 3 5/6 times as much raspberry jam as strawberry jam, how many jars will the raspberry jam fill? Write your answer as mixed number
Answer:
Harry would have made 1 and 1/2 jars of raspberry jam
Step-by-step explanation:
Hope this helps
Raspberry jam can fill [tex]12\frac{15}{16}[/tex] jars when the quantity of raspberry jam is [tex]3\frac{5}{6}[/tex] times as strawberry jam .
Given, that strawberry jam has filled 3 3/8 jars.
Multiplication: It is the basic mathematical operation among division, addition and subtraction.
The number of jars of strawberry jam is [tex]3\frac{3}{8}[/tex] jars.
The number of jars of raspberry jam is [tex]3\frac{5}{6}[/tex] times of the number of jars of strawberry jam.
So,
[tex]3\frac{3}{8} \times 3\frac{5}{6}[/tex]
[tex]= \frac{27}{8} \times \frac{23}{6}\\ \\= 207/16\\\\= 12\frac{15}{16}[/tex]
The number of jars of raspberry jam is [tex]12\frac{15}{16}[/tex] .
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The price of a car that was bought for $20,000 has depreciated 8% yearly.
Write a model to describe the value of the car.
A.f(t)=20,000(0.92)t
B.f(t)=20,000(1.92)t
C.f(t)=20,000(0.08)t
D.f(t)=20,000(1.08)t
Step-by-step explanation:
[tex] \sf{ \longmapsto \: D.f(t)=20,000(1.08)t}[/tex]
a board that is 4 1/2 feet long weighs 7 1/5 pounds how much would one foot of the board weigh? write your answer as a mixed number
DESPERATE PLEASE HELP WILL AWARD BRAINLIEST
Answer: 1 foot = 5/3 or 1.6666 pounds
Step-by-step explanation: to get 4 1/2 feet to one foot, you divide by 4 1/2. in this equation, 4 1/2 ft= 7 1/2 pounds. if you divide one side by 4 1/2, you also have to do the same to the other side. therefore you do 7 1/2 divided by 4 1/2 which will give you 1.6666 or 5/3.
1 foot= 5/3 pounds
person who answers this gets brainliest
If Manny the Martian's shadow is 17.5 ft. in length and the shadow of a yard stick sitting perpendicular to the ground is 7.5 ft., what is Manny's height?
A 8 ft
B 5.5 ft
C 6 ft
D 7 ft
Answer:
letter B.
Step-by-step explanation:
5.5ft
hope it helps you
PlEaSe HeLp.
i'M VeRy CoNfUsEd.
Answer:
For first page I belive both of the answer are b. The second page I believe b and c
Step-by-step explanation:
Answer:
answers are a,b,a,d
Step-by-step explanation:
What is the difference between 4 and -5?
Answer:
l-5l+l4l=9
l . l means total value from zero.
Mike can drive 375 miles on one full tank of gas,which is 25 gallons.What equation
can mike use to find the total number of miles
Answer:
375/25=15
Step-by-step explanation:
the angles of a triangle measure 4 degrees,86 degrees, and 90 degrees.
Answer:
It is a right angled triangle.
Step-by-step explanation:
Because it has 90° angle in it.
Hope it helps..!!<3
Write the equation of the line in point-slope form.
Answer:
y= 4/3x+2
Step-by-step explanation:
the y intercept is at 2 and you do rise over run for m
Consider randomly drawing two students without replacement from a class of 40 students in which 3 are left handed. Below is a tree diagram illustrating that the probability of selecting 2 left handed students is 1/260. Calculate the probabilities labeled on the tree diagram
Answer:
a. 3/40
b. 37/40
c. 2/39
d. 37/39
e. 3/39
h. 36/39
k. 1/260
m. 37/520
n. 37/520
w. 111/130
Step-by-step explanation:
First person:
a. 3/40
b. 37/40
_____
Second person:
left-handed branch of tree diagram: since the first person was left-handed, it means there is one less left-handed person, and one less person for the total
c. 2/39
d. 37/39
not left-handed branch of tree diagram: since the first person wasn't left-handed, there are still 3 left-handed people, and there is one less person for the total.
e. 3/39
h. 36/39
_____
for the final probabilities, just multiply along the tree branches:
k = a × c = 1/260
m = a × d = 37/520
n = b × e = 37/520
w = b × h = 111/130
Maizes grandmother open the second account with $75 for her when she was born the account is 4% simple interest each year when Maize is 10 years old how much will she have in the savings account?
Answer:
She'd have $45
Step-by-step explanation:
4% of 75 is 3 dollars.
So 3 dollars per year and after 10 years the account lost $30 to the simple interest.
3*10(AmountOfYears)=30
So 75-30=45
$45 would be left in the savings account.
help with this question
Answer:
option D is correct
x=O and x=-8
Relationship B has a greater rate than Relationship A. This graph represents Relationship A.
Which equations could represent Relationship B?
Select each correct answer.
y = 0.6x
y=23x
y=14x
y=34x
First-quadrant graph showing a ray from the origin through the points begin ordered pair 4 comma 2 end ordered pair and begin ordered pair 8 comma 4 end ordered pair.
Answer:
y = 0.6x
Step-by-step explanation:
Look what happens as we move from point (4, 2) to point (8, 4). The x coordinate increases by 4 and the y coordinate by 2. Thus, the slope of the line representing Relationship A is m = rise / run = 2/4, or 0.5.
The only one of the four possible answers that could be correct is y = 0.6x, which has a greater rate (slope) than does the given line (m = 0.5).
Answer: 0.6
2/3
3/4
I took the test and got those as my answer. Btw here's the image for proof :)
Three consecutive integers add up to 51. The integers are *
16,17,18
15,16,17
17,18,19
18,19,20
Answer:
1st option
Step-by-step explanation:
let the three consecutive integers be n , n + 1 , n + 2 , then adding gives
n + n + 1 + n + 2 = 51, simplifying
3n + 3 = 51 ( subtract 3 from both sides )
3n = 48 ( divide both sides by 3 )
n = 16
n + 1 = 16 + 1 = 17
n + 2 = 16 + 2 = 18
The 3 consecutive integers are 16, 17, 18
( I’ll give you brainliest!!!) Find the length of the third side. If necessary, write in simplest radical form.
Answer:
The Pythagorean Theorem, a2+b2=c2, a 2 + b 2 = c 2
I dont know the exact positions to put the lengths, but tell me if this helps!
A count went from 605 to 203. What was the approximate percent decrease? Round the numbers to find an estimate of the percent decrease.
A. The percent decrease was approximately 25%.
B. The percent decrease was approximately 33%.
C. The percent decrease was approximately 50%.
D. The percent decrease was approximately 66%.
IT'S D
HOPE THIS HELP MARK ME BRAINLIST
Change 32/6 to a mixed number in lowest terms .
Answer:
5 1/3
Step-by-step explanation:
MARKING BRAINLEIST + 20 POINTS PLEASE HELP IS DUE TODAY
Answer: The slope is 1.5. The equation of the line is y=1.5x+3
Step-by-step explanation:
Slope is the "Rise" over the "Run" of a line. The rise is the change in y. The run is the cange in x. Take any two points. I picked (0,3) and (4,9) since they were clearly on whokle number lines. The rise is (9-3) or 6. The run is (4-0) or 4. Rise/Run = 6/4 or 1.5. The y intercept is at 3 (the value of y when x=0). The full line equation is thus y = 1.5x+3.